Vectors are physical quantities that have both magnitude and direction. The vector operations include addition, subtraction, and scalar multiplication.
A …
Consider water flowing from a nozzle to a turbine vane. As the water hits the turbine vane, it exerts a force that causes it to move along the flow of …
Forces play a crucial role in the study of physics and engineering. They are essential in describing the motion, behavior, and equilibrium of objects in …
When understanding the effects of multiple forces acting on an object, vector addition is a crucial concept to grasp. This mathematical concept can be …
A two-dimensional system in mechanical engineering involves the analysis of motion and forces in a plane. A two-dimensional force vector can be resolved …
Scalar notation is a useful method for simplifying calculations involving vectors. When vectors are added or subtracted, their components can be added or …
Cartesian vector notation is a valuable tool in mechanical engineering for representing vectors in three-dimensional space, performing vector operations …
Direction cosines, which help describe the orientation of a vector with respect to the coordinate axes, are an essential concept in the field of vector …
In mechanical engineering, a three-dimensional force system is a system of forces acting in three dimensions, with forces applied along the x, y, and z …
A three-dimensional force system refers to a scenario in which three forces act simultaneously in three different directions. This type of problem is …
A position vector is a fundamental concept in mathematics that helps determine the position of one point with respect to another point in space. It is a …
Quite often in three-dimensional statics problems, the direction of a force is specified by two points through which its line of action passes. Consider a …
The dot product is an essential concept in mathematics and physics.
In engineering, the dot product of any two vectors is the product of the magnitudes of …
The dot product is a powerful tool in problem-solving involving vectors, given that the dot product of two vectors is the product of their magnitudes and …
The cross product is a fundamental concept in vector algebra that is a vector operation on two different vectors to obtain a third vector. Unlike the …
In mechanics, commonly used terms like force, speed, velocity, and work can be classified as either scalar or vector quantities. A scalar is a physical …
A neuron will fire an action potential when its membrane potential exceeds a certain threshold. In typical activity of the brain, this occurs as a result …
It is well known that the flow field over a delta wing is dominated by a pair of counter rotating leading edge vortices (LEV). However, their mechanism is …
In this paper, we present a complete workflow for the biomechanical analysis of atherosclerotic plaque in the coronary vasculature. With atherosclerosis …
